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Finding the Fourth Proportional to 6,853.60, 9,457.97 and 4,059.10

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Solution

The fourth proportional to 6,853.60, 9,457.97 and 4,059.10 is: 5,601.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.60 : 9,457.97 = 4,059.10 : x
  2. Step 2: Convert to fraction form
    6,853.60/9,457.97 = 4,059.10/x
  3. Step 3: Cross multiply
    6,853.60x = 9,457.97 × 4,059.10
  4. Step 4: Simplify right side
    6,853.60x = 38,390,825.73
  5. Step 5: Solve for x
    x = 38,390,825.73/6,853.60
  6. Step 6: Final answer
    x = 5,601.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.